square root 40000
Understand the Problem
The question is asking to calculate the square root of the number 40000. This requires performing a mathematical operation to find the value that, when multiplied by itself, equals 40000.
Answer
200
Answer for screen readers
The final answer is 200
Steps to Solve
- Identify the problem and the method to solve it
To find the square root of 40000, we need to determine a number that, when multiplied by itself, equals 40000.
- Simplify the number under the square root
We break down 40000 into its prime factors or a simpler form if possible. We notice that 40000 is a perfect square:
$$40000 = 4 \times 10000$$
- Take the square root
Now take the square root of each part:
$$\sqrt{40000} = \sqrt{4 \times 10000}$$
- Simplify further
Since ( \sqrt{4} = 2 ) and ( \sqrt{10000} = 100 ), we have:
$$\sqrt{4 \times 10000} = 2 \times 100 = 200$$
Therefore,
$$\sqrt{40000} = 200$$
The final answer is 200
More Information
The square root operation simplifies larger numbers into their base number. The number 40000 is a perfect square, making the calculation straightforward.
Tips
A common mistake is to incorrectly identify the number that, when squared, results in 40000. To avoid this, carefully factorize the number and simplify step by step.
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